{
  "id": "1809.01714",
  "version": "v1",
  "published": "2018-09-05T20:14:51.000Z",
  "updated": "2018-09-05T20:14:51.000Z",
  "title": "Cartier modules and cyclotomic spectra",
  "authors": [
    "Benjamin Antieau",
    "Thomas Nikolaus"
  ],
  "comment": "Comments very welcome",
  "categories": [
    "math.AT",
    "math.AG",
    "math.KT"
  ],
  "abstract": "We construct and study a t-structure on p-typical cyclotomic spectra and explain how to recover crystalline cohomology of smooth schemes over perfect fields using this t-structure. Our main tool is a new approach to p-typical cyclotomic spectra via objects we call p-typical topological Cartier modules. Using these, we prove that the heart of the cyclotomic t-structure is the full subcategory of derived V-complete objects in the abelian category of p-typical Cartier modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-05T20:14:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F30",
      "14L05",
      "13D03"
    ],
    "keywords": [
      "p-typical cyclotomic spectra",
      "abelian category",
      "derived v-complete objects",
      "full subcategory",
      "crystalline cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}